Abstract
We present a theory of the Fano resonance for optical resonators, based on a temporal coupled-mode formalism. This theory is applicable to the general scheme of a single optical resonance coupled with multiple input and output ports. We show that the coupling constants in such a theory are strongly constrained by energy-conservation and time-reversal symmetry considerations. In particular, for a two-port symmetric structure, Fano-resonant line shape can be derived by using only these symmetry considerations. We validate the analysis by comparing the theoretical predictions with three-dimensional finite-difference time-domain simulations of guided resonance in photonic crystal slabs. Such a theory may prove to be useful for response-function synthesis in filter and sensor applications.
© 2003 Optical Society of America
Full Article | PDF ArticleMore Like This
Tiecheng Wang
Opt. Express 30(21) 37980-37992 (2022)
Qiurong Deng, Hao Lin, and Zhi-Yuan Li
Opt. Express 31(20) 32322-32334 (2023)
Dmitry A. Bykov, Leonid L. Doskolovich, and Victor A. Soifer
Opt. Express 25(2) 1151-1164 (2017)